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Finding the Fourth Proportional to 3,369.43, 5,054.83 and 1,421.64

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Solution

The fourth proportional to 3,369.43, 5,054.83 and 1,421.64 is: 2,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.43 : 5,054.83 = 1,421.64 : x
  2. Step 2: Convert to fraction form
    3,369.43/5,054.83 = 1,421.64/x
  3. Step 3: Cross multiply
    3,369.43x = 5,054.83 × 1,421.64
  4. Step 4: Simplify right side
    3,369.43x = 7,186,148.52
  5. Step 5: Solve for x
    x = 7,186,148.52/3,369.43
  6. Step 6: Final answer
    x = 2,132.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.